

<!DOCTYPE html>
<html lang="zh-CN" data-default-color-scheme=auto>



<head>
  <meta name="referrer" content="no-referrer">
  <meta charset="UTF-8">
  <link rel="apple-touch-icon" sizes="76x76" href="https://cdn.staticaly.com/gh/codeslive/images-pages@main/2022/20221111234340.webp">
  <link rel="icon" href="https://cdn.staticaly.com/gh/codeslive/images-pages@main/2022/20221111234340.webp">
  <meta name="viewport" content="width=device-width, initial-scale=1.0, maximum-scale=5.0, shrink-to-fit=no">
  <meta http-equiv="x-ua-compatible" content="ie=edge">
  
  <meta name="theme-color" content="#2f4154">
  <meta name="author" content="xiaokang">
  <meta name="keywords" content="">
  
    <meta name="description" content="数学">
<meta property="og:type" content="article">
<meta property="og:title" content="第一章 函数与极限">
<meta property="og:url" content="https://codeslive.gitee.io/2022/08/10/%E7%AC%AC%E4%B8%80%E7%AB%A0%20%E5%87%BD%E6%95%B0%E4%B8%8E%E6%9E%81%E9%99%90/index.html">
<meta property="og:site_name" content="专升本数学笔记">
<meta property="og:description" content="数学">
<meta property="og:locale" content="zh_CN">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/202124ce9e02930251aae2aea1296a7053923942.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/2bf0df81ea52472ab2e19db05b67df0b2b5e48cb.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/d0cff2278f91b658415e0016666b2b1bcb705def.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/ae405f38f7e1d5e3404eae33be9b9dc2ad28e023.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/adf5613565dd28560e3bce740a8512e4cb298d48.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/df913c1ac93de164926c818ee5509ef1ec1d0c55.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/946bfce868c9ff303e53835616094ae8bc2aa014.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/7f17fadc760d2c4bc39a8dd559f66e999e2cd64c.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/fa93f72db22a6f64aa397e67195b272edb127939.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/3261719f5bed3ecc80e1ad15071d3c5473d0c442.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/79ffaf1fb0771286c21c3335927eae0caff8d9ca.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/e01e85ac03eb66ad3af56317138b312ade4774a3.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/196ef036d89c4b4038a898dd6810cb471b949094.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/c2790d4453eef656b9abbba24ff4535a0966941d.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/dc72cb18ccef175f0a32fc9390e64a20eb747521.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/5a8291f551405a799479ca7b2588e73da8c3b6a8.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/615a30d588e88df8e5be7e66ddeda0afbd2c8d74.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/572c328bb82827c86626d9a4a752188df6e006a5.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/714dec70a19c2580feea4c188ff4f1972bba19ca.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/631b754c1c7dcc8d7793da6f504323f2525aefe6.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/edfac5aeaaadffc101b9a0a3d66947b64b3c889f.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/2f2536093d53aeb2dcdc5b6368e6a54b8ff98b7f.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/22554f15cccead6495d2eee0bcce7ba1182bb927.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/0df55aac280f6defc1299ca07eba8c441a4f10f8.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/fbe4acc3910a1a9341a5c8c55acac0a9739ad5e8.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/7c19f6f1e52bf98ec693bbd900e526fb7ef65b08.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/89370a2d9b34207feebf99e389334c83d50ae00b.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/05af86eab1fe22a7084096d4c890136627e37c28.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/c7f7a4f8bbd0abe078baefdbc0ba5f90026bf1da.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/55a05e9f6decd2d6ea63938ce992b06e12fed268.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/69052a36031359165759775b73b6ba35b6f205b0.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/45a2e69c83d0087abbff828e81d4e145b65b01c7.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/90585df68eb9931b8544be5e1f0b63ea54a3b9af.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/23f4262513131085dfed1cd072a74f8daf8fdc2b.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/271b16f48813bcac3b39908fc182e803850c98ff.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/1df671c191a77a79cf0c40dd4f90a67e46839268.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/aca28412c541ecd5f9bb72a4f95da1afcb292486.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/35128abf80714b276afbccf5306d57708a9e8bc2.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/90754bc7213d1bc180fc75cd5ff394e2dc0dbc09.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/597f453e9565e69c2dae19a7c929f9ccd6613eab.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/a6d4959a3043ededc084a842d96d19167d8017d8.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/35632f3525ccad692c6feda11bc6964b9335717b.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/117462b87e17beb024c1f552aca68aa8aaa3e656.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/bf61086700bde9808045e63b3e9e0cc235c12433.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/ec109f6940152189bc7d4d15181bfb3e4f8ecadc.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/bbbbbd1b2f132d0878a1faecc59f9694a84cf7df.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/1054cc820eaf5940f4dddd47a86aca32d8668452.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/58d3f14d88ffcb3d55f6b8204ec35a0c893bfa71.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/428a444eb37d4c2b010224c5b7f92c9966bd2600.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/200a2db61e7d7688fd552f4564686f9a155f7877.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/46dc17fed0355303b95d5406c0348886da810fcb.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/d88359cc1a9cadf900aa746ed8c9eb1110f58086.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/2613a3e0e9dbbefb03a5b63aff7886ae01850c2b.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/3e57be90579f42cdc5cb54b1e8a24e74bd41d8af.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/b3982bd0a49a8d6d446c111b96f70a8ec1c6d7cc.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/e50466374d22ff57315956948231a2164d36f87e.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/2f946b66479e9ee03b812ebc1dffc7a56f26ffa0.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/96b69ee22b3c99ca83995dd2dfb771326c4e8dce.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/3370395971d1e1f3cdec0b92c87a0452e281f08e.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/6d2109139075a4389ef937b8fa83495c2f27c9e7.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/a35fc78ba1d21353fb8e0f6e7e1a62964aa15be7.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/3131bf2c4af06e05eb26595f602e3315fcbcd962.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/91e169d89ea327097e0500cdce7c08301f2ff6eb.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/d76ecb3638ac61da42c63ded804c62dcbc260dda.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/7f588f99d235d92efa2c5b4a4d584f1406522ef7.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/a567885d620577990b5b2d645f4fe1d0395e1210.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/cdc01539cee92b76dca8d4aedf7542860a37bd09.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/1bf9d984d10fc287fbdf8cb24abbcd393f0def43.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/a3ce8241a94a1daae14351ba0318ef366c3e1a16.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/36f8ea2af3f4231dbda4b60cc4d0e1a76f4147f3.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/0c4ac97bc30b78b0c9ff25c35c9c2d4a3c568a2e.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/3104d5ff058b6d787c6150b59b48c3bf89c96bc7.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/e064e386ee8c43b36fe8c1aa95b558146af76eaf.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/43ec47fbae7a18db551726987aa93e8733781289.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/19096a539cf01e329314208b81a6461f7cd6ae9c.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/28ff066da128db3b765f107da9d7ed7b6b378643.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/fdcea9abd6c7f168e8615861a517f2a40ed07f56.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/f8b363e16ad62861341ac28a2c1682bf9cfc13cd.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/dfb49f8c5019a75e22a3bb20f0b68dd3cdf564dd.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/d44816fb8d6d7d17b120ece5cd1b38e97ccef258.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/7346cee4c2b79e4df970ea5774b17d5d722fd183.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/32a7e4295c0d5c3119beb069a0c2d381f3ef555b.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/8540655383114431b5fe374816143adce5101390.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/30a53993233ddf17242ed28abccc3b8934265470.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/8c965baa711323042f87ae118b5d9c75852a50a5.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/66527062c546d857940663379703ac48189e38d8.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/873eba78b4d17129660e9314caf7c7f4f9869dba.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/96aed8d8f6d6fb7bda7632119e165584afee4935.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/74678dec3f0872d302124760971a6eb4da8a793c.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/6d7bfb42c8f67a08e129b51f281f11ecbadeb171.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/a47050ae916bbb1ef5c0e04d6cb42b04408599b7.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/a4633737185b36f9b7894e9388a035ad4601473f.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/8b508994ffee98c06f94b62f19472b1826ac8e2a.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/f08ff8c21196e355a4ae689b36a8298d1be54523.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/e06d872051a9bda49af65af402202746777bd9cf.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/198a8fe342e0e403673fa3e43c25b22b7b8da5e8.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/27ea6a76b46c10e19ec26c992b7cc75d58cb5ef8.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/32c1ebaf93bcf19dbb188705bdbf4135422265d6.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/5722640835261d0ffe0682601da91084f54602ea.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/11f4bf4a9a2cd822a5a63965d3f22e741f1c4f44.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/0971331479ea7d0e41ce91cbdf9e9d5e5fd4e991.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/75ab96487ff86ae212504faba832db1ff33adaaa.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/68e5be4af63bd2356cdf50fa35368eeea050e075.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/54aa136762aa11ae30fa40c7f08d23a9c062922b.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/f26376625d9abeb96cdaecf1d0c62fc6104b53fc.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/82f1bb18031523246c8a3619c32d7c91788222db.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/d68509e35a79718ecf8b0d25569cba9c992561e9.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/a4a13b5efa4a137e0df10d248bbb6535268ea44a.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/b7498ba71b2c64068a3069d4c4b6503198f623c7.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/27a03e10b20b3555e887378827a9f298f1a3e859.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/fd0a1fb44ea9966db167ae7ed08ac270287128c4.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/302cf0c6334bfe81c5c7198dbc9b918350e9960e.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/1e370ec3bdad6a34bbe8efe53d87d825f51876f3.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/5ba4a740632474500cbb5c30449c4c8d2d5c067b.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/b9483fa2f706463f2bd5e685342b9b9ad960e898.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/c165d97057e7661e534a367d9163ac7fec58161b.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/6dfddd9e2dab96363e9e97a4c8decb1bb6052002.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/aec5ce764414fc88c34fa06d02f78c3067a3a46f.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/b56dc15687aec2a01a945e1c3f009718ecbddb30.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/e721d3d0d2d6545560a575f77b1ed79f71d0fc6c.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/5307059a4d70fc1b1211f2cfaac8aea2fb51a45f.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/5147b6709f3b4952ad3ae0754fab3afb6b952e97.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/acbb993f280efe9614f4c67bf0cbfcb90b40eee5.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/f63bcfe4a3cd9f397d7b28f41c4a1e88e9f8b707.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/e59c5a7403cfcd8087d57be8314602a32d8e5de2.png">
<meta property="og:image" content="https://i0.hdslb.com/bfs/album/98596632b075dcf9b830ac733ca674a0e7b6e4cc.png">
<meta property="article:published_time" content="2022-08-09T16:29:00.000Z">
<meta property="article:modified_time" content="2022-11-27T15:17:55.315Z">
<meta property="article:author" content="xiaokang">
<meta property="article:tag" content="数学">
<meta name="twitter:card" content="summary_large_image">
<meta name="twitter:image" content="https://i0.hdslb.com/bfs/album/202124ce9e02930251aae2aea1296a7053923942.png">
  
  
  
  <title>第一章 函数与极限 - 专升本数学笔记</title>

  <link  rel="stylesheet" href="https://lib.baomitu.com/twitter-bootstrap/4.6.1/css/bootstrap.min.css" />



  <link  rel="stylesheet" href="https://lib.baomitu.com/github-markdown-css/4.0.0/github-markdown.min.css" />

  <link  rel="stylesheet" href="https://lib.baomitu.com/hint.css/2.7.0/hint.min.css" />

  <link  rel="stylesheet" href="https://lib.baomitu.com/fancybox/3.5.7/jquery.fancybox.min.css" />



<!-- 主题依赖的图标库，不要自行修改 -->
<!-- Do not modify the link that theme dependent icons -->

<link rel="stylesheet" href="//at.alicdn.com/t/font_1749284_hj8rtnfg7um.css">



<link rel="stylesheet" href="//at.alicdn.com/t/font_1736178_lbnruvf0jn.css">


<link  rel="stylesheet" href="/css/main.css" />


  <link id="highlight-css" rel="stylesheet" href="/css/highlight.css" />
  
    <link id="highlight-css-dark" rel="stylesheet" href="/css/highlight-dark.css" />
  




  <script id="fluid-configs">
    var Fluid = window.Fluid || {};
    Fluid.ctx = Object.assign({}, Fluid.ctx)
    var CONFIG = {"hostname":"codeslive.gitee.io","root":"/","version":"1.9.2","typing":{"enable":true,"typeSpeed":70,"cursorChar":"_","loop":false,"scope":[]},"anchorjs":{"enable":true,"element":"h1,h2,h3,h4,h5,h6","placement":"left","visible":"hover","icon":""},"progressbar":{"enable":true,"height_px":3,"color":"#29d","options":{"showSpinner":false,"trickleSpeed":100}},"code_language":{"enable":true,"default":"TEXT"},"copy_btn":true,"image_caption":{"enable":true},"image_zoom":{"enable":true,"img_url_replace":["",""]},"toc":{"enable":true,"placement":"right","headingSelector":"h1,h2,h3,h4,h5,h6","collapseDepth":0},"lazyload":{"enable":true,"loading_img":"/img/loading.gif","onlypost":false,"offset_factor":2},"web_analytics":{"enable":false,"follow_dnt":true,"baidu":null,"google":null,"gtag":null,"tencent":{"sid":null,"cid":null},"woyaola":null,"cnzz":null,"leancloud":{"app_id":null,"app_key":null,"server_url":null,"path":"window.location.pathname","ignore_local":false}},"search_path":"/local-search.xml"};

    if (CONFIG.web_analytics.follow_dnt) {
      var dntVal = navigator.doNotTrack || window.doNotTrack || navigator.msDoNotTrack;
      Fluid.ctx.dnt = dntVal && (dntVal.startsWith('1') || dntVal.startsWith('yes') || dntVal.startsWith('on'));
    }
  </script>
  <script  src="/js/utils.js" ></script>
  <script  src="/js/color-schema.js" ></script>
  


  
<meta name="generator" content="Hexo 6.2.0"></head>


<body>
  

  <header>
    

<div class="header-inner" style="height: 70vh;">
  <nav id="navbar" class="navbar fixed-top  navbar-expand-lg navbar-dark scrolling-navbar">
  <div class="container">
    <a class="navbar-brand" href="/">
      <strong>专升本数学笔记</strong>
    </a>

    <button id="navbar-toggler-btn" class="navbar-toggler" type="button" data-toggle="collapse"
            data-target="#navbarSupportedContent"
            aria-controls="navbarSupportedContent" aria-expanded="false" aria-label="Toggle navigation">
      <div class="animated-icon"><span></span><span></span><span></span></div>
    </button>

    <!-- Collapsible content -->
    <div class="collapse navbar-collapse" id="navbarSupportedContent">
      <ul class="navbar-nav ml-auto text-center">
        
          
          
          
          
            <li class="nav-item">
              <a class="nav-link" href="/">
                <i class="iconfont icon-home-fill"></i>
                首页
              </a>
            </li>
          
        
          
          
          
          
            <li class="nav-item">
              <a class="nav-link" href="/archives/">
                <i class="iconfont icon-archive-fill"></i>
                归档
              </a>
            </li>
          
        
          
          
          
          
            <li class="nav-item">
              <a class="nav-link" href="/categories/">
                <i class="iconfont icon-category-fill"></i>
                分类
              </a>
            </li>
          
        
          
          
          
          
            <li class="nav-item">
              <a class="nav-link" href="/tags/">
                <i class="iconfont icon-tags-fill"></i>
                标签
              </a>
            </li>
          
        
          
          
          
          
            <li class="nav-item">
              <a class="nav-link" href="/about/">
                <i class="iconfont icon-user-fill"></i>
                关于
              </a>
            </li>
          
        
        
          <li class="nav-item" id="search-btn">
            <a class="nav-link" target="_self" href="javascript:;" data-toggle="modal" data-target="#modalSearch" aria-label="Search">
              &nbsp;<i class="iconfont icon-search"></i>&nbsp;
            </a>
          </li>
          
        
        
          <li class="nav-item" id="color-toggle-btn">
            <a class="nav-link" target="_self" href="javascript:;" aria-label="Color Toggle">&nbsp;<i
                class="iconfont icon-dark" id="color-toggle-icon"></i>&nbsp;</a>
          </li>
        
      </ul>
    </div>
  </div>
</nav>

  

<div id="banner" class="banner" parallax=true
     style="background: url('https://s1.vika.cn/space/2022/11/22/ded723d234884576b5c867e9a889eaf6') no-repeat center center; background-size: cover;">
  <div class="full-bg-img">
    <div class="mask flex-center" style="background-color: rgba(0, 0, 0, 0.3)">
      <div class="banner-text text-center fade-in-up">
        <div class="h2">
          
            <span id="subtitle" data-typed-text="第一章 函数与极限"></span>
          
        </div>

        
          
  <div class="mt-3">
    
    
      <span class="post-meta">
        <i class="iconfont icon-date-fill" aria-hidden="true"></i>
        <time datetime="2022-08-10 00:29" pubdate>
          2022年8月10日 凌晨
        </time>
      </span>
    
  </div>

  <div class="mt-1">
    
      <span class="post-meta mr-2">
        <i class="iconfont icon-chart"></i>
        
          329 字
        
      </span>
    

    
      <span class="post-meta mr-2">
        <i class="iconfont icon-clock-fill"></i>
        
        
        
          3 分钟
        
      </span>
    

    
    
  </div>


        
      </div>

      
    </div>
  </div>
</div>

</div>

  </header>

  <main>
    
      

<div class="container-fluid nopadding-x">
  <div class="row nomargin-x">
    <div class="side-col d-none d-lg-block col-lg-2">
      

    </div>

    <div class="col-lg-8 nopadding-x-md">
      <div class="container nopadding-x-md" id="board-ctn">
        <div id="board">
          <article class="post-content mx-auto">
            <!-- SEO header -->
            <h1 style="display: none">第一章 函数与极限</h1>
            
            
              <div class="markdown-body">
                
                <h1 id="函数"><a href="#函数" class="headerlink" title="函数"></a>函数</h1><h3 id="一、求解具体函数定义域"><a href="#一、求解具体函数定义域" class="headerlink" title="一、求解具体函数定义域"></a>一、求解具体函数定义域</h3><p><img src="https://i0.hdslb.com/bfs/album/202124ce9e02930251aae2aea1296a7053923942.png" srcset="/img/loading.gif" lazyload alt="常见具体函数定义域"></p>
<h5 id="例题"><a href="#例题" class="headerlink" title="例题"></a>例题</h5><p><img src="https://i0.hdslb.com/bfs/album/2bf0df81ea52472ab2e19db05b67df0b2b5e48cb.png" srcset="/img/loading.gif" lazyload alt="例题一"></p>
<p><img src="https://i0.hdslb.com/bfs/album/d0cff2278f91b658415e0016666b2b1bcb705def.png" srcset="/img/loading.gif" lazyload alt="例题二"></p>
<p><img src="https://i0.hdslb.com/bfs/album/ae405f38f7e1d5e3404eae33be9b9dc2ad28e023.png" srcset="/img/loading.gif" lazyload alt="例题三"></p>
<h5 id="真题"><a href="#真题" class="headerlink" title="真题"></a>真题</h5><p><img src="https://i0.hdslb.com/bfs/album/adf5613565dd28560e3bce740a8512e4cb298d48.png" srcset="/img/loading.gif" lazyload alt="2018真题"></p>
<hr>
<h3 id="二、求解抽象函数定义域"><a href="#二、求解抽象函数定义域" class="headerlink" title="二、求解抽象函数定义域"></a>二、求解抽象函数定义域</h3><p><img src="https://i0.hdslb.com/bfs/album/df913c1ac93de164926c818ee5509ef1ec1d0c55.png" srcset="/img/loading.gif" lazyload alt="原理以及方法"></p>
<h5 id="例题-1"><a href="#例题-1" class="headerlink" title="例题"></a>例题</h5><p><img src="https://i0.hdslb.com/bfs/album/946bfce868c9ff303e53835616094ae8bc2aa014.png" srcset="/img/loading.gif" lazyload alt="例题一"></p>
<h5 id="真题-1"><a href="#真题-1" class="headerlink" title="真题"></a>真题</h5><p><img src="https://i0.hdslb.com/bfs/album/7f17fadc760d2c4bc39a8dd559f66e999e2cd64c.png" srcset="/img/loading.gif" lazyload alt="2016真题"></p>
<hr>
<h3 id="三、求解函数表达式"><a href="#三、求解函数表达式" class="headerlink" title="三、求解函数表达式"></a>三、求解函数表达式</h3><h5 id="题型一"><a href="#题型一" class="headerlink" title="题型一"></a>题型一</h5><p><img src="https://i0.hdslb.com/bfs/album/fa93f72db22a6f64aa397e67195b272edb127939.png" srcset="/img/loading.gif" lazyload alt="题型"></p>
<p><img src="https://i0.hdslb.com/bfs/album/3261719f5bed3ecc80e1ad15071d3c5473d0c442.png" srcset="/img/loading.gif" lazyload alt="2019真题"></p>
<p><img src="https://i0.hdslb.com/bfs/album/79ffaf1fb0771286c21c3335927eae0caff8d9ca.png" srcset="/img/loading.gif" lazyload alt="2015真题"></p>
<h5 id="题型二"><a href="#题型二" class="headerlink" title="题型二"></a>题型二</h5><p><img src="https://i0.hdslb.com/bfs/album/e01e85ac03eb66ad3af56317138b312ade4774a3.png" srcset="/img/loading.gif" lazyload alt="题型二"></p>
<p><img src="https://i0.hdslb.com/bfs/album/196ef036d89c4b4038a898dd6810cb471b949094.png" srcset="/img/loading.gif" lazyload alt="例题一 换元法"></p>
<p><img src="https://i0.hdslb.com/bfs/album/c2790d4453eef656b9abbba24ff4535a0966941d.png" srcset="/img/loading.gif" lazyload alt="例题二 配凑法"></p>
<hr>
<h3 id="三、反函数概念"><a href="#三、反函数概念" class="headerlink" title="三、反函数概念"></a>三、反函数概念</h3><h5 id="例题-2"><a href="#例题-2" class="headerlink" title="例题"></a>例题</h5><p><img src="https://i0.hdslb.com/bfs/album/dc72cb18ccef175f0a32fc9390e64a20eb747521.png" srcset="/img/loading.gif" lazyload alt="例题一"></p>
<p><img src="https://i0.hdslb.com/bfs/album/5a8291f551405a799479ca7b2588e73da8c3b6a8.png" srcset="/img/loading.gif" lazyload alt="例题二"></p>
<hr>
<h3 id="四、常见的基本初等函数"><a href="#四、常见的基本初等函数" class="headerlink" title="四、常见的基本初等函数"></a>四、常见的基本初等函数</h3><h5 id="常数项函数"><a href="#常数项函数" class="headerlink" title="常数项函数"></a>常数项函数</h5><p><img src="https://i0.hdslb.com/bfs/album/615a30d588e88df8e5be7e66ddeda0afbd2c8d74.png" srcset="/img/loading.gif" lazyload alt="常数项函数"></p>
<h5 id="幂函数"><a href="#幂函数" class="headerlink" title="幂函数"></a>幂函数</h5><p><img src="https://i0.hdslb.com/bfs/album/572c328bb82827c86626d9a4a752188df6e006a5.png" srcset="/img/loading.gif" lazyload alt="幂函数图像"></p>
<p><img src="https://i0.hdslb.com/bfs/album/714dec70a19c2580feea4c188ff4f1972bba19ca.png" srcset="/img/loading.gif" lazyload alt="幂函数图像"></p>
<p><img src="https://i0.hdslb.com/bfs/album/631b754c1c7dcc8d7793da6f504323f2525aefe6.png" srcset="/img/loading.gif" lazyload alt="幂函数公式"></p>
<h5 id="指数函数"><a href="#指数函数" class="headerlink" title="指数函数"></a>指数函数</h5><p><img src="https://i0.hdslb.com/bfs/album/edfac5aeaaadffc101b9a0a3d66947b64b3c889f.png" srcset="/img/loading.gif" lazyload alt="指数函数的图像"></p>
<p><img src="https://i0.hdslb.com/bfs/album/2f2536093d53aeb2dcdc5b6368e6a54b8ff98b7f.png" srcset="/img/loading.gif" lazyload alt="指数函数的图像"></p>
<h5 id="对数函数"><a href="#对数函数" class="headerlink" title="对数函数"></a>对数函数</h5><p><img src="https://i0.hdslb.com/bfs/album/22554f15cccead6495d2eee0bcce7ba1182bb927.png" srcset="/img/loading.gif" lazyload alt="对数函数的图像"></p>
<p><img src="https://i0.hdslb.com/bfs/album/0df55aac280f6defc1299ca07eba8c441a4f10f8.png" srcset="/img/loading.gif" lazyload alt="对数函数公式"></p>
<h5 id="三角函数"><a href="#三角函数" class="headerlink" title="三角函数"></a>三角函数</h5><p><img src="https://i0.hdslb.com/bfs/album/fbe4acc3910a1a9341a5c8c55acac0a9739ad5e8.png" srcset="/img/loading.gif" lazyload alt="三角函数的图像"></p>
<p><img src="https://i0.hdslb.com/bfs/album/7c19f6f1e52bf98ec693bbd900e526fb7ef65b08.png" srcset="/img/loading.gif" lazyload alt="常用的三角关系"></p>
<p><img src="https://i0.hdslb.com/bfs/album/89370a2d9b34207feebf99e389334c83d50ae00b.png" srcset="/img/loading.gif" lazyload alt="常用三角函数值"></p>
<p><img src="https://i0.hdslb.com/bfs/album/05af86eab1fe22a7084096d4c890136627e37c28.png" srcset="/img/loading.gif" lazyload alt="常用反三角函数值"></p>
<p><img src="https://i0.hdslb.com/bfs/album/c7f7a4f8bbd0abe078baefdbc0ba5f90026bf1da.png" srcset="/img/loading.gif" lazyload alt="常用三角函数"></p>
<p><img src="https://i0.hdslb.com/bfs/album/55a05e9f6decd2d6ea63938ce992b06e12fed268.png" srcset="/img/loading.gif" lazyload alt="常用三角函数"></p>
<hr>
<h3 id="五、复合函数及其分解"><a href="#五、复合函数及其分解" class="headerlink" title="五、复合函数及其分解"></a>五、复合函数及其分解</h3><p><img src="https://i0.hdslb.com/bfs/album/69052a36031359165759775b73b6ba35b6f205b0.png" srcset="/img/loading.gif" lazyload alt="知识点"></p>
<h5 id="例题-3"><a href="#例题-3" class="headerlink" title="例题"></a>例题</h5><p><img src="https://i0.hdslb.com/bfs/album/45a2e69c83d0087abbff828e81d4e145b65b01c7.png" srcset="/img/loading.gif" lazyload alt="例题一"></p>
<p><img src="https://i0.hdslb.com/bfs/album/90585df68eb9931b8544be5e1f0b63ea54a3b9af.png" srcset="/img/loading.gif" lazyload alt="例题二"></p>
<p><img src="https://i0.hdslb.com/bfs/album/23f4262513131085dfed1cd072a74f8daf8fdc2b.png" srcset="/img/loading.gif" lazyload alt="例题三"></p>
<hr>
<h3 id="六、函数奇偶性"><a href="#六、函数奇偶性" class="headerlink" title="六、函数奇偶性"></a>六、函数奇偶性</h3><h5 id="结论"><a href="#结论" class="headerlink" title="结论"></a>结论</h5><p><img src="https://i0.hdslb.com/bfs/album/271b16f48813bcac3b39908fc182e803850c98ff.png" srcset="/img/loading.gif" lazyload alt="奇偶函数"></p>
<h5 id="奇偶函数四则运算"><a href="#奇偶函数四则运算" class="headerlink" title="奇偶函数四则运算"></a>奇偶函数四则运算</h5><p><img src="https://i0.hdslb.com/bfs/album/1df671c191a77a79cf0c40dd4f90a67e46839268.png" srcset="/img/loading.gif" lazyload alt="奇偶函数四则运算"></p>
<h5 id="真题-2"><a href="#真题-2" class="headerlink" title="真题"></a>真题</h5><p><img src="https://i0.hdslb.com/bfs/album/aca28412c541ecd5f9bb72a4f95da1afcb292486.png" srcset="/img/loading.gif" lazyload alt="真题2014"></p>
<h5 id="复合函数的奇偶性"><a href="#复合函数的奇偶性" class="headerlink" title="复合函数的奇偶性"></a>复合函数的奇偶性</h5><p><img src="https://i0.hdslb.com/bfs/album/35128abf80714b276afbccf5306d57708a9e8bc2.png" srcset="/img/loading.gif" lazyload alt="复合函数的奇偶性"></p>
<p><img src="https://i0.hdslb.com/bfs/album/90754bc7213d1bc180fc75cd5ff394e2dc0dbc09.png" srcset="/img/loading.gif" lazyload alt="2018真题"></p>
<h5 id="题型一-1"><a href="#题型一-1" class="headerlink" title="题型一"></a>题型一</h5><p><img src="https://i0.hdslb.com/bfs/album/597f453e9565e69c2dae19a7c929f9ccd6613eab.png" srcset="/img/loading.gif" lazyload alt="题型一"></p>
<h5 id="题型二-1"><a href="#题型二-1" class="headerlink" title="题型二"></a>题型二</h5><p><img src="https://i0.hdslb.com/bfs/album/a6d4959a3043ededc084a842d96d19167d8017d8.png" srcset="/img/loading.gif" lazyload alt="题型二"></p>
<p><img src="https://i0.hdslb.com/bfs/album/35632f3525ccad692c6feda11bc6964b9335717b.png" srcset="/img/loading.gif" lazyload alt="题型二"></p>
<p><img src="https://i0.hdslb.com/bfs/album/117462b87e17beb024c1f552aca68aa8aaa3e656.png" srcset="/img/loading.gif" lazyload alt="题型二"></p>
<h3 id="七、函数性质"><a href="#七、函数性质" class="headerlink" title="七、函数性质"></a>七、函数性质</h3><p><img src="https://i0.hdslb.com/bfs/album/bf61086700bde9808045e63b3e9e0cc235c12433.png" srcset="/img/loading.gif" lazyload alt="有界性"></p>
<h3 id="极限"><a href="#极限" class="headerlink" title="极限"></a><strong>极限</strong></h3><p><img src="https://i0.hdslb.com/bfs/album/ec109f6940152189bc7d4d15181bfb3e4f8ecadc.png" srcset="/img/loading.gif" lazyload></p>
<hr>
<h3 id="一、无穷比无穷型极限"><a href="#一、无穷比无穷型极限" class="headerlink" title="一、无穷比无穷型极限"></a><strong>一、无穷比无穷型极限</strong></h3><p><img src="https://i0.hdslb.com/bfs/album/bbbbbd1b2f132d0878a1faecc59f9694a84cf7df.png" srcset="/img/loading.gif" lazyload></p>
<p>1.幂函数抓大头</p>
<p><img src="https://i0.hdslb.com/bfs/album/1054cc820eaf5940f4dddd47a86aca32d8668452.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/58d3f14d88ffcb3d55f6b8204ec35a0c893bfa71.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/428a444eb37d4c2b010224c5b7f92c9966bd2600.png" srcset="/img/loading.gif" lazyload></p>
<p>2.指数函数抓大头</p>
<p><img src="https://i0.hdslb.com/bfs/album/200a2db61e7d7688fd552f4564686f9a155f7877.png" srcset="/img/loading.gif" lazyload></p>
<p>3.利用无穷比无穷极限存在，反求参数a,b</p>
<p><img src="https://i0.hdslb.com/bfs/album/46dc17fed0355303b95d5406c0348886da810fcb.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/d88359cc1a9cadf900aa746ed8c9eb1110f58086.png" srcset="/img/loading.gif" lazyload></p>
<hr>
<h3 id="二、零比零型极限"><a href="#二、零比零型极限" class="headerlink" title="二、零比零型极限"></a><strong>二、零比零型极限</strong></h3><p><img src="https://i0.hdslb.com/bfs/album/2613a3e0e9dbbefb03a5b63aff7886ae01850c2b.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/3e57be90579f42cdc5cb54b1e8a24e74bd41d8af.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/b3982bd0a49a8d6d446c111b96f70a8ec1c6d7cc.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/e50466374d22ff57315956948231a2164d36f87e.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/2f946b66479e9ee03b812ebc1dffc7a56f26ffa0.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/96b69ee22b3c99ca83995dd2dfb771326c4e8dce.png" srcset="/img/loading.gif" lazyload></p>
<hr>
<h3 id="三、易错考点-0-有界-x3D-0"><a href="#三、易错考点-0-有界-x3D-0" class="headerlink" title="三、易错考点 0 * 有界 &#x3D; 0"></a><strong>三、易错考点 0 * 有界 &#x3D; 0</strong></h3><p><img src="https://i0.hdslb.com/bfs/album/3370395971d1e1f3cdec0b92c87a0452e281f08e.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/6d2109139075a4389ef937b8fa83495c2f27c9e7.png" srcset="/img/loading.gif" lazyload></p>
<hr>
<h3 id="四、洛必达法则"><a href="#四、洛必达法则" class="headerlink" title="四、洛必达法则"></a><strong>四、洛必达法则</strong></h3><p><img src="https://i0.hdslb.com/bfs/album/a35fc78ba1d21353fb8e0f6e7e1a62964aa15be7.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/3131bf2c4af06e05eb26595f602e3315fcbcd962.png" srcset="/img/loading.gif" lazyload></p>
<hr>
<h3 id="五、零比无穷型计算"><a href="#五、零比无穷型计算" class="headerlink" title="五、零比无穷型计算"></a><strong>五、零比无穷型计算</strong></h3><p><img src="https://i0.hdslb.com/bfs/album/91e169d89ea327097e0500cdce7c08301f2ff6eb.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/d76ecb3638ac61da42c63ded804c62dcbc260dda.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/7f588f99d235d92efa2c5b4a4d584f1406522ef7.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/a567885d620577990b5b2d645f4fe1d0395e1210.png" srcset="/img/loading.gif" lazyload></p>
<hr>
<h3 id="六、无穷-无穷型极限计算"><a href="#六、无穷-无穷型极限计算" class="headerlink" title="六、无穷-无穷型极限计算"></a><strong>六、无穷-无穷型极限计算</strong></h3><p><img src="https://i0.hdslb.com/bfs/album/cdc01539cee92b76dca8d4aedf7542860a37bd09.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/1bf9d984d10fc287fbdf8cb24abbcd393f0def43.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/a3ce8241a94a1daae14351ba0318ef366c3e1a16.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/36f8ea2af3f4231dbda4b60cc4d0e1a76f4147f3.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/0c4ac97bc30b78b0c9ff25c35c9c2d4a3c568a2e.png" srcset="/img/loading.gif" lazyload></p>
<hr>
<h3 id="七、U的v次方型极限计算"><a href="#七、U的v次方型极限计算" class="headerlink" title="七、U的v次方型极限计算"></a><strong>七、U的v次方型极限计算</strong></h3><p><img src="https://i0.hdslb.com/bfs/album/3104d5ff058b6d787c6150b59b48c3bf89c96bc7.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/e064e386ee8c43b36fe8c1aa95b558146af76eaf.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/43ec47fbae7a18db551726987aa93e8733781289.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/19096a539cf01e329314208b81a6461f7cd6ae9c.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/28ff066da128db3b765f107da9d7ed7b6b378643.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/fdcea9abd6c7f168e8615861a517f2a40ed07f56.png" srcset="/img/loading.gif" lazyload></p>
<hr>
<h3 id="八、函数极限计算小结"><a href="#八、函数极限计算小结" class="headerlink" title="八、函数极限计算小结"></a><strong>八、函数极限计算小结</strong></h3><p><img src="https://i0.hdslb.com/bfs/album/f8b363e16ad62861341ac28a2c1682bf9cfc13cd.png" srcset="/img/loading.gif" lazyload></p>
<hr>
<h3 id="九、函数的左右极限"><a href="#九、函数的左右极限" class="headerlink" title="九、函数的左右极限"></a><strong>九、函数的左右极限</strong></h3><p><img src="https://i0.hdslb.com/bfs/album/dfb49f8c5019a75e22a3bb20f0b68dd3cdf564dd.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/d44816fb8d6d7d17b120ece5cd1b38e97ccef258.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/7346cee4c2b79e4df970ea5774b17d5d722fd183.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/32a7e4295c0d5c3119beb069a0c2d381f3ef555b.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/8540655383114431b5fe374816143adce5101390.png" srcset="/img/loading.gif" lazyload></p>
<hr>
<h3 id="十、函数的左右极限计算"><a href="#十、函数的左右极限计算" class="headerlink" title="十、函数的左右极限计算"></a><strong>十、函数的左右极限计算</strong></h3><p><img src="https://i0.hdslb.com/bfs/album/30a53993233ddf17242ed28abccc3b8934265470.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/8c965baa711323042f87ae118b5d9c75852a50a5.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/66527062c546d857940663379703ac48189e38d8.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/873eba78b4d17129660e9314caf7c7f4f9869dba.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/96aed8d8f6d6fb7bda7632119e165584afee4935.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/74678dec3f0872d302124760971a6eb4da8a793c.png" srcset="/img/loading.gif" lazyload></p>
<hr>
<h3 id="十一、夹逼定理"><a href="#十一、夹逼定理" class="headerlink" title="十一、夹逼定理"></a>十一、夹逼定理</h3><p><img src="https://i0.hdslb.com/bfs/album/6d7bfb42c8f67a08e129b51f281f11ecbadeb171.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/a47050ae916bbb1ef5c0e04d6cb42b04408599b7.png" srcset="/img/loading.gif" lazyload></p>
<hr>
<h3 id="十二、连续"><a href="#十二、连续" class="headerlink" title="十二、连续"></a>十二、连续</h3><h3 id=""><a href="#" class="headerlink" title=""></a><img src="https://i0.hdslb.com/bfs/album/a4633737185b36f9b7894e9388a035ad4601473f.png" srcset="/img/loading.gif" lazyload></h3><p><img src="https://i0.hdslb.com/bfs/album/8b508994ffee98c06f94b62f19472b1826ac8e2a.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/f08ff8c21196e355a4ae689b36a8298d1be54523.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/e06d872051a9bda49af65af402202746777bd9cf.png" srcset="/img/loading.gif" lazyload></p>
<h3 id="十三、函数的间断点及其类型"><a href="#十三、函数的间断点及其类型" class="headerlink" title="十三、函数的间断点及其类型"></a>十三、函数的间断点及其类型</h3><p><img src="https://i0.hdslb.com/bfs/album/198a8fe342e0e403673fa3e43c25b22b7b8da5e8.png" srcset="/img/loading.gif" lazyload alt="跳跃间断点"></p>
<p><img src="https://i0.hdslb.com/bfs/album/27ea6a76b46c10e19ec26c992b7cc75d58cb5ef8.png" srcset="/img/loading.gif" lazyload alt="可去间断点"></p>
<p><img src="https://i0.hdslb.com/bfs/album/32c1ebaf93bcf19dbb188705bdbf4135422265d6.png" srcset="/img/loading.gif" lazyload alt="左右极限不存在的间断点"></p>
<p><img src="https://i0.hdslb.com/bfs/album/5722640835261d0ffe0682601da91084f54602ea.png" srcset="/img/loading.gif" lazyload alt="考点：间断点的识别"></p>
<p><img src="https://i0.hdslb.com/bfs/album/11f4bf4a9a2cd822a5a63965d3f22e741f1c4f44.png" srcset="/img/loading.gif" lazyload alt="解题"></p>
<p><img src="https://i0.hdslb.com/bfs/album/0971331479ea7d0e41ce91cbdf9e9d5e5fd4e991.png" srcset="/img/loading.gif" lazyload alt="题型一"></p>
<p><img src="https://i0.hdslb.com/bfs/album/75ab96487ff86ae212504faba832db1ff33adaaa.png" srcset="/img/loading.gif" lazyload alt="题型二"></p>
<p><img src="https://i0.hdslb.com/bfs/album/68e5be4af63bd2356cdf50fa35368eeea050e075.png" srcset="/img/loading.gif" lazyload alt="题型三"></p>
<p><img src="https://i0.hdslb.com/bfs/album/54aa136762aa11ae30fa40c7f08d23a9c062922b.png" srcset="/img/loading.gif" lazyload alt="题型四"></p>
<p><img src="https://i0.hdslb.com/bfs/album/f26376625d9abeb96cdaecf1d0c62fc6104b53fc.png" srcset="/img/loading.gif" lazyload alt="题型5"></p>
<hr>
<h3 id="十四、无穷小量的比较"><a href="#十四、无穷小量的比较" class="headerlink" title="十四、无穷小量的比较"></a>十四、无穷小量的比较</h3><p><img src="https://i0.hdslb.com/bfs/album/82f1bb18031523246c8a3619c32d7c91788222db.png" srcset="/img/loading.gif" lazyload alt="无穷小量与无穷大量"></p>
<p><img src="https://i0.hdslb.com/bfs/album/d68509e35a79718ecf8b0d25569cba9c992561e9.png" srcset="/img/loading.gif" lazyload alt="无穷小量与无穷大量的关系"></p>
<p><img src="https://i0.hdslb.com/bfs/album/a4a13b5efa4a137e0df10d248bbb6535268ea44a.png" srcset="/img/loading.gif" lazyload alt="2020真题"></p>
<p><img src="https://i0.hdslb.com/bfs/album/b7498ba71b2c64068a3069d4c4b6503198f623c7.png" srcset="/img/loading.gif" lazyload alt="2015真题 西华大学"></p>
<p><img src="https://i0.hdslb.com/bfs/album/27a03e10b20b3555e887378827a9f298f1a3e859.png" srcset="/img/loading.gif" lazyload alt="小技巧"></p>
<p><img src="https://i0.hdslb.com/bfs/album/fd0a1fb44ea9966db167ae7ed08ac270287128c4.png" srcset="/img/loading.gif" lazyload alt="概念"></p>
<p><img src="https://i0.hdslb.com/bfs/album/302cf0c6334bfe81c5c7198dbc9b918350e9960e.png" srcset="/img/loading.gif" lazyload alt="结论"></p>
<p><img src="https://i0.hdslb.com/bfs/album/1e370ec3bdad6a34bbe8efe53d87d825f51876f3.png" srcset="/img/loading.gif" lazyload alt="题型"></p>
<p><img src="https://i0.hdslb.com/bfs/album/5ba4a740632474500cbb5c30449c4c8d2d5c067b.png" srcset="/img/loading.gif" lazyload alt="例题一"></p>
<p><img src="https://i0.hdslb.com/bfs/album/b9483fa2f706463f2bd5e685342b9b9ad960e898.png" srcset="/img/loading.gif" lazyload alt="例题二"></p>
<p><img src="https://i0.hdslb.com/bfs/album/c165d97057e7661e534a367d9163ac7fec58161b.png" srcset="/img/loading.gif" lazyload alt="2018真题"></p>
<p><img src="https://i0.hdslb.com/bfs/album/6dfddd9e2dab96363e9e97a4c8decb1bb6052002.png" srcset="/img/loading.gif" lazyload alt="2019真题"></p>
<p><img src="https://i0.hdslb.com/bfs/album/aec5ce764414fc88c34fa06d02f78c3067a3a46f.png" srcset="/img/loading.gif" lazyload alt="2021真题"></p>
<hr>
<h3 id="十五、利用极限求渐近线"><a href="#十五、利用极限求渐近线" class="headerlink" title="十五、利用极限求渐近线"></a>十五、利用极限求渐近线</h3><p><img src="https://i0.hdslb.com/bfs/album/b56dc15687aec2a01a945e1c3f009718ecbddb30.png" srcset="/img/loading.gif" lazyload alt="渐近线的概念"></p>
<p><img src="https://i0.hdslb.com/bfs/album/e721d3d0d2d6545560a575f77b1ed79f71d0fc6c.png" srcset="/img/loading.gif" lazyload alt="水平渐近线"></p>
<p><img src="https://i0.hdslb.com/bfs/album/5307059a4d70fc1b1211f2cfaac8aea2fb51a45f.png" srcset="/img/loading.gif" lazyload alt="垂直渐近线"></p>
<p><img src="https://i0.hdslb.com/bfs/album/5147b6709f3b4952ad3ae0754fab3afb6b952e97.png" srcset="/img/loading.gif" lazyload alt="斜渐近线"></p>
<p><img src="https://i0.hdslb.com/bfs/album/acbb993f280efe9614f4c67bf0cbfcb90b40eee5.png" srcset="/img/loading.gif" lazyload alt="同济大学"></p>
<p><img src="https://i0.hdslb.com/bfs/album/f63bcfe4a3cd9f397d7b28f41c4a1e88e9f8b707.png" srcset="/img/loading.gif" lazyload alt="同济大学"></p>
<p><img src="https://i0.hdslb.com/bfs/album/e59c5a7403cfcd8087d57be8314602a32d8e5de2.png" srcset="/img/loading.gif" lazyload></p>
<p><img src="https://i0.hdslb.com/bfs/album/98596632b075dcf9b830ac733ca674a0e7b6e4cc.png" srcset="/img/loading.gif" lazyload></p>
<hr>

                
              </div>
            
            <hr/>
            <div>
              <div class="post-metas my-3">
  
    <div class="post-meta mr-3 d-flex align-items-center">
      <i class="iconfont icon-category"></i>
      

<span class="category-chains">
  
  
    
      <span class="category-chain">
        
  <a href="/categories/%E6%95%B0%E5%AD%A6/" class="category-chain-item">数学</a>
  
  

      </span>
    
  
</span>

    </div>
  
  
    <div class="post-meta">
      <i class="iconfont icon-tags"></i>
      
        <a href="/tags/%E6%95%B0%E5%AD%A6/">#数学</a>
      
    </div>
  
</div>


              
  

  <div class="license-box my-3">
    <div class="license-title">
      <div>第一章 函数与极限</div>
      <div>https://codeslive.gitee.io/2022/08/10/第一章 函数与极限/</div>
    </div>
    <div class="license-meta">
      
      
      
      <div class="license-meta-item">
        <div>许可协议</div>
        <div>
          
            
            
              <a target="_blank" href="https://creativecommons.org/licenses/by/4.0/">
              <span class="hint--top hint--rounded" aria-label="BY - 署名">
                <i class="iconfont icon-by"></i>
              </span>
              </a>
            
          
        </div>
      </div>
    </div>
    <div class="license-icon iconfont"></div>
  </div>



              
                <div class="post-prevnext my-3">
                  <article class="post-prev col-6">
                    
                    
                      <a href="/2022/08/31/%E7%AC%AC%E4%BA%8C%E7%AB%A0%20%E5%AF%BC%E6%95%B0/" title="第二章 导数">
                        <i class="iconfont icon-arrowleft"></i>
                        <span class="hidden-mobile">第二章 导数</span>
                        <span class="visible-mobile">上一篇</span>
                      </a>
                    
                  </article>
                  <article class="post-next col-6">
                    
                    
                  </article>
                </div>
              
            </div>

            
          </article>
        </div>
      </div>
    </div>

    <div class="side-col d-none d-lg-block col-lg-2">
      
  <aside class="sidebar" style="margin-left: -1rem">
    <div id="toc">
  <p class="toc-header"><i class="iconfont icon-list"></i>&nbsp;目录</p>
  <div class="toc-body" id="toc-body"></div>
</div>



  </aside>


    </div>
  </div>
</div>





  



  



  



  



  







    

    
      <a id="scroll-top-button" aria-label="TOP" href="#" role="button">
        <i class="iconfont icon-arrowup" aria-hidden="true"></i>
      </a>
    

    
      <div class="modal fade" id="modalSearch" tabindex="-1" role="dialog" aria-labelledby="ModalLabel"
     aria-hidden="true">
  <div class="modal-dialog modal-dialog-scrollable modal-lg" role="document">
    <div class="modal-content">
      <div class="modal-header text-center">
        <h4 class="modal-title w-100 font-weight-bold">搜索</h4>
        <button type="button" id="local-search-close" class="close" data-dismiss="modal" aria-label="Close">
          <span aria-hidden="true">&times;</span>
        </button>
      </div>
      <div class="modal-body mx-3">
        <div class="md-form mb-5">
          <input type="text" id="local-search-input" class="form-control validate">
          <label data-error="x" data-success="v" for="local-search-input">关键词</label>
        </div>
        <div class="list-group" id="local-search-result"></div>
      </div>
    </div>
  </div>
</div>

    

    
  </main>

  <footer>
    <div class="footer-inner">
  
    <div class="footer-content">
       <a href="https://hexo.io" target="_blank" rel="nofollow noopener"><span>Hexo</span></a> <i class="iconfont icon-love"></i> <a href="https://github.com/fluid-dev/hexo-theme-fluid" target="_blank" rel="nofollow noopener"><span>Fluid</span></a> 
    </div>
  
  
  
    <!-- 备案信息 ICP for China -->
    <div class="beian">
  <span>
    <a href="http://beian.miit.gov.cn/" target="_blank" rel="nofollow noopener">
      粤ICP备2021164535号-2
    </a>
  </span>
  
</div>

  
  
</div>

  </footer>

  <!-- Scripts -->
  
  <script  src="https://lib.baomitu.com/nprogress/0.2.0/nprogress.min.js" ></script>
  <link  rel="stylesheet" href="https://lib.baomitu.com/nprogress/0.2.0/nprogress.min.css" />

  <script>
    NProgress.configure({"showSpinner":false,"trickleSpeed":100})
    NProgress.start()
    window.addEventListener('load', function() {
      NProgress.done();
    })
  </script>


<script  src="https://lib.baomitu.com/jquery/3.6.0/jquery.min.js" ></script>
<script  src="https://lib.baomitu.com/twitter-bootstrap/4.6.1/js/bootstrap.min.js" ></script>
<script  src="/js/events.js" ></script>
<script  src="/js/plugins.js" ></script>


  <script  src="https://lib.baomitu.com/typed.js/2.0.12/typed.min.js" ></script>
  <script>
    (function (window, document) {
      var typing = Fluid.plugins.typing;
      var subtitle = document.getElementById('subtitle');
      if (!subtitle || !typing) {
        return;
      }
      var text = subtitle.getAttribute('data-typed-text');
      
        typing(text);
      
    })(window, document);
  </script>




  
    <script  src="/js/img-lazyload.js" ></script>
  




  
<script>
  Fluid.utils.createScript('https://lib.baomitu.com/tocbot/4.18.2/tocbot.min.js', function() {
    var toc = jQuery('#toc');
    if (toc.length === 0 || !window.tocbot) { return; }
    var boardCtn = jQuery('#board-ctn');
    var boardTop = boardCtn.offset().top;

    window.tocbot.init({
      tocSelector     : '#toc-body',
      contentSelector : '.markdown-body',
      headingSelector : CONFIG.toc.headingSelector || 'h1,h2,h3,h4,h5,h6',
      linkClass       : 'tocbot-link',
      activeLinkClass : 'tocbot-active-link',
      listClass       : 'tocbot-list',
      isCollapsedClass: 'tocbot-is-collapsed',
      collapsibleClass: 'tocbot-is-collapsible',
      collapseDepth   : CONFIG.toc.collapseDepth || 0,
      scrollSmooth    : true,
      headingsOffset  : -boardTop
    });
    if (toc.find('.toc-list-item').length > 0) {
      toc.css('visibility', 'visible');
    }
  });
</script>


  <script src=https://lib.baomitu.com/clipboard.js/2.0.10/clipboard.min.js></script>

  <script>Fluid.plugins.codeWidget();</script>


  
<script>
  Fluid.utils.createScript('https://lib.baomitu.com/anchor-js/4.3.1/anchor.min.js', function() {
    window.anchors.options = {
      placement: CONFIG.anchorjs.placement,
      visible  : CONFIG.anchorjs.visible
    };
    if (CONFIG.anchorjs.icon) {
      window.anchors.options.icon = CONFIG.anchorjs.icon;
    }
    var el = (CONFIG.anchorjs.element || 'h1,h2,h3,h4,h5,h6').split(',');
    var res = [];
    for (var item of el) {
      res.push('.markdown-body > ' + item.trim());
    }
    if (CONFIG.anchorjs.placement === 'left') {
      window.anchors.options.class = 'anchorjs-link-left';
    }
    window.anchors.add(res.join(', '));
  });
</script>


  
<script>
  Fluid.utils.createScript('https://lib.baomitu.com/fancybox/3.5.7/jquery.fancybox.min.js', function() {
    Fluid.plugins.fancyBox();
  });
</script>


  <script>Fluid.plugins.imageCaption();</script>

  <script  src="/js/local-search.js" ></script>





<!-- 主题的启动项，将它保持在最底部 -->
<!-- the boot of the theme, keep it at the bottom -->
<script  src="/js/boot.js" ></script>


  

  <noscript>
    <div class="noscript-warning">博客在允许 JavaScript 运行的环境下浏览效果更佳</div>
  </noscript>
</body>
</html>
